A firm’s unit capital and labor costs are $1 and $2 respectively. If the production function is given by Q = 4LK + L^2. Find the maximum output and the level of K and L at which it is achieved when the total in put cost is fixed at $105. Verify that the ratio of marginal product to price is the same for both inputs at the optimum

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A firm’s unit capital and labor costs are $1 and $2 respectively. If
the production function is given by Q = 4LK + L^2. Find the maximum
output and the level of K and L at which it is achieved when the total
in put cost is fixed at $105. Verify that the ratio of marginal
product to price is the same for both inputs at the optimum

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